In this math video we will learn how to use unit cubes to find the volume of a right rectangular prism. Each unit cube will have fractional lengths. We will understand that a cube is three dimensional and each side length is the same measurement. Volume is length time width times height. Therefore we can write the volume of a cube as the side length cubed or to an exponent of 3. We will then determine how many cubes fit in the right rectangular prism and multiply the volume of one cube by the total number of cubes. We will identify the correct numerical expression to represent the volume of the prism. An exemplar solution is modeled and explained.
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00:00 Introduction
00:21The Question
01:10 Understanding the Problem
01:24 What is a Cube?
01:38 Identify Length, Width & Height of a Cube
01:52 Volume Formula
02:07 Volume of a Cube
02:24 Write Repeated Multiplication Using Exponents
02:48 How Many Unit Cubes in a Rectangular Prism
03:50 Volume of a Rectangular Prism
04:06 Conclusion
Geometry
6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
6.G.A.2 Solve a real-world problem involving the volume of a right rectangular prism.
11 сен 2024
